TSTP Solution File: GRP467-1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP467-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:03:56 EDT 2022
% Result : Unsatisfiable 1.36s 1.52s
% Output : Refutation 1.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP467-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 14:31:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.36/1.52 GeoParameters:
% 1.36/1.52
% 1.36/1.52 tptp_input = 1
% 1.36/1.52 tptp_output = 0
% 1.36/1.52 nonempty = 1
% 1.36/1.52 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.36/1.52 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.36/1.52
% 1.36/1.52
% 1.36/1.52 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.36/1.52 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.36/1.52
% 1.36/1.52 RuleSystem INPUT:
% 1.36/1.52
% 1.36/1.52 Initial Rules:
% 1.36/1.52 #0: input, references = 6, size of lhs = 8:
% 1.36/1.52 P_divide-{F}(V0,V0,V4), P_divide-{F}(V3,V1,V5), P_divide-{F}(V2,V5,V6), P_inverse-{F}(V3,V7), P_divide-{F}(V6,V7,V8), P_divide-{F}(V1,V8,V9), P_divide-{F}(V4,V9,V10), V10 == V2 | FALSE
% 1.36/1.52 (used 0 times, uses = {})
% 1.36/1.52
% 1.36/1.52 #1: input, references = 5, size of lhs = 4:
% 1.36/1.52 P_multiply-{F}(V0,V1,V2), P_inverse-{F}(V1,V3), P_divide-{F}(V0,V3,V4), V2 == V4 | FALSE
% 1.36/1.52 (used 0 times, uses = {})
% 1.36/1.52
% 1.36/1.52 #2: input, references = 4, size of lhs = 5:
% 1.36/1.52 P_b2-{F}(V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_a2-{F}(V3), P_multiply-{F}(V2,V3,V3) | FALSE
% 1.36/1.52 (used 0 times, uses = {})
% 1.36/1.52
% 1.36/1.52 #3: input, references = 17, size of lhs = 2:
% 1.36/1.52 #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 1.36/1.52 (used 0 times, uses = {})
% 1.36/1.52
% 1.36/1.52 #4: input, references = 10, size of lhs = 1:
% 1.36/1.52 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 1.36/1.52 (used 0 times, uses = {})
% 1.36/1.52
% 1.36/1.52 #5: input, references = 9, size of lhs = 2:
% 1.36/1.52 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 1.36/1.52 (used 0 times, uses = {})
% 1.36/1.52
% 1.36/1.52 #6: input, references = 4, size of lhs = 0:
% 1.36/1.52 FALSE | EXISTS V0: P_b2-{T}(V0)
% 1.36/1.52 (used 0 times, uses = {})
% 1.36/1.52
% 1.36/1.52 #7: input, references = 4, size of lhs = 0:
% 1.36/1.52 FALSE | EXISTS V0: P_a2-{T}(V0)
% 1.36/1.52 (used 0 times, uses = {})
% 1.36/1.52
% 1.36/1.52 number of initial rules = 8
% 1.36/1.52
% 1.36/1.52 Simplifiers:
% 1.36/1.52 #8: unsound, references = 3, size of lhs = 3:
% 1.36/1.52 P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.36/1.52 (used 0 times, uses = {})
% 1.36/1.52
% 1.36/1.52 #9: unsound, references = 3, size of lhs = 3:
% 1.36/1.52 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 1.36/1.52 (used 0 times, uses = {})
% 1.36/1.52
% 1.36/1.52 #10: unsound, references = 3, size of lhs = 3:
% 1.36/1.52 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.36/1.52 (used 0 times, uses = {})
% 1.36/1.52
% 1.36/1.52 #11: unsound, references = 3, size of lhs = 3:
% 1.36/1.52 P_b2-{F}(V0), P_b2-{F}(V1), V0 == V1 | FALSE
% 1.36/1.52 (used 0 times, uses = {})
% 1.36/1.52
% 1.36/1.52 #12: unsound, references = 3, size of lhs = 3:
% 1.36/1.52 P_a2-{F}(V0), P_a2-{F}(V1), V0 == V1 | FALSE
% 1.36/1.52 (used 0 times, uses = {})
% 1.36/1.52
% 1.36/1.52 number of simplifiers = 5
% 1.36/1.52
% 1.36/1.52 Learnt:
% 1.36/1.52 #14: exists( #5, #1 ), references = 4, size of lhs = 2:
% 1.36/1.52 P_inverse-{F}(V0,V1), P_divide-{F}(V2,V1,V3) | P_multiply-{T}(V2,V0,V3)
% 1.36/1.52 (used 0 times, uses = {})
% 1.36/1.52
% 1.36/1.52 #16: exists( #3, #0 ), references = 14, size of lhs = 6:
% 1.36/1.52 P_divide-{F}(V0,V0,V1), P_inverse-{F}(V2,V3), P_divide-{F}(V2,V4,V5), P_divide-{F}(V6,V5,V7), P_divide-{F}(V7,V3,V8), P_divide-{F}(V4,V8,V9) | P_divide-{T}(V1,V9,V6)
% 1.36/1.52 (used 0 times, uses = {})
% 1.36/1.52
% 1.36/1.52 #19: exists( #3, #1 ), references = 10, size of lhs = 2:
% 1.36/1.52 P_inverse-{F}(V0,V1), P_multiply-{F}(V2,V0,V3) | P_divide-{T}(V2,V1,V3)
% 1.36/1.52 (used 0 times, uses = {})
% 1.36/1.52
% 1.36/1.52 #31: exists( #3, #29 ), references = 4, size of lhs = 11:
% 1.36/1.52 P_divide-{F}(V0,V0,V1), P_divide-{F}(V2,V2,V1), P_inverse-{F}(V3,V4), P_divide-{F}(V3,V5,V6), P_divide-{F}(V7,V6,V8), P_divide-{F}(V8,V4,V9), P_inverse-{F}(V10,V11), P_divide-{F}(V10,V5,V12), P_divide-{F}(V13,V11,V9), P_divide-{F}(V14,V12,V13), V7 == V14 | FALSE
% 1.36/1.52 (used 0 times, uses = {})
% 1.36/1.52
% 1.36/1.52 #34: exists( #5, #32 ), references = 6, size of lhs = 10:
% 1.36/1.52 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_divide-{F}(V4,V4,V5), P_divide-{F}(V6,V6,V5), P_divide-{F}(V2,V7,V8), P_divide-{F}(V3,V7,V9), P_divide-{F}(V10,V8,V11), P_divide-{F}(V12,V9,V11), V10 == V12 | FALSE
% 1.36/1.52 (used 0 times, uses = {})
% 1.36/1.52
% 1.36/1.52 #36: exists( #4, #33 ), references = 6, size of lhs = 10:
% 1.36/1.52 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_divide-{F}(V4,V4,V5), P_divide-{F}(V6,V6,V5), P_divide-{F}(V2,V7,V8), P_divide-{F}(V3,V7,V9), P_divide-{F}(V10,V8,V11), P_divide-{F}(V12,V9,V11), V10 == V12 | FALSE
% 1.36/1.52 (used 0 times, uses = {})
% 1.36/1.52
% 1.36/1.52 #44: exists( #3, #38 ), references = 3, size of lhs = 14:
% 1.36/1.52 P_inverse-{F}(V0,V1), P_divide-{F}(V0,V2,V3), P_divide-{F}(V4,V4,V5), P_divide-{F}(V6,V6,V5), P_inverse-{F}(V7,V8), P_divide-{F}(V2,V9,V8), P_divide-{F}(V10,V1,V9), P_divide-{F}(V11,V3,V10), P_divide-{F}(V7,V12,V13), P_inverse-{F}(V14,V15), P_divide-{F}(V14,V12,V16), P_divide-{F}(V17,V15,V11), P_divide-{F}(V18,V16,V17), V13 == V18 | FALSE
% 1.36/1.52 (used 0 times, uses = {})
% 1.36/1.52
% 1.36/1.52 #78: exists( #3, #72 ), references = 1, size of lhs = 12:
% 1.36/1.52 P_divide-{F}(V0,V0,V1), P_inverse-{F}(V1,V2), P_inverse-{F}(V3,V2), P_inverse-{F}(V4,V5), P_divide-{F}(V4,V6,V7), P_divide-{F}(V8,V7,V9), P_divide-{F}(V9,V5,V10), P_divide-{F}(V11,V11,V12), P_divide-{F}(V13,V13,V12), P_divide-{F}(V14,V8,V15), P_divide-{F}(V16,V8,V15), V14 == V16 | FALSE
% 1.36/1.52 (used 0 times, uses = {})
% 1.36/1.52
% 1.36/1.52 #79: exists( #3, #73 ), references = 1, size of lhs = 12:
% 1.36/1.52 P_divide-{F}(V0,V0,V1), P_inverse-{F}(V1,V2), P_inverse-{F}(V3,V2), P_inverse-{F}(V4,V5), P_divide-{F}(V4,V6,V7), P_divide-{F}(V8,V7,V9), P_divide-{F}(V9,V5,V10), P_divide-{F}(V11,V11,V12), P_divide-{F}(V13,V13,V12), P_divide-{F}(V14,V8,V15), P_divide-{F}(V16,V8,V15), V14 == V16 | FALSE
% 1.36/1.52 (used 0 times, uses = {})
% 1.36/1.52
% 1.36/1.52 #81: mergings( V5 == V6; #77 ), references = 1, size of lhs = 13:
% 1.36/1.52 P_divide-{F}(V0,V0,V1), P_inverse-{F}(V1,V2), P_inverse-{F}(V3,V4), P_divide-{F}(V3,V5,V6), P_divide-{F}(V7,V6,V8), P_divide-{F}(V8,V4,V9), P_divide-{F}(V10,V10,V11), P_divide-{F}(V12,V12,V11), P_divide-{F}(V13,V7,V14), P_divide-{F}(V14,V2,V15), P_divide-{F}(V16,V2,V15), P_divide-{F}(V17,V7,V16), V13 == V17 | FALSE
% 1.36/1.52 (used 0 times, uses = {})
% 1.36/1.52
% 1.36/1.52 #88: exists( #5, #82 ), references = 3, size of lhs = 12:
% 1.36/1.52 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_divide-{F}(V3,V3,V4), P_inverse-{F}(V4,V5), P_inverse-{F}(V6,V5), P_divide-{F}(V2,V7,V8), P_divide-{F}(V9,V8,V10), P_divide-{F}(V11,V11,V12), P_divide-{F}(V13,V13,V12), P_divide-{F}(V14,V9,V15), P_divide-{F}(V16,V9,V15), V14 == V16 | FALSE
% 1.36/1.52 (used 0 times, uses = {})
% 1.36/1.52
% 1.36/1.52 #89: exists( #5, #83 ), references = 1, size of lhs = 12:
% 1.36/1.52 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_divide-{F}(V3,V3,V4), P_inverse-{F}(V4,V5), P_inverse-{F}(V6,V5), P_divide-{F}(V2,V7,V8), P_divide-{F}(V9,V8,V10), P_divide-{F}(V11,V11,V12), P_divide-{F}(V13,V13,V12), P_divide-{F}(V14,V9,V15), P_divide-{F}(V16,V9,V15), V14 == V16 | FALSE
% 1.36/1.52 (used 0 times, uses = {})
% 1.36/1.52
% 1.36/1.52 #91: mergings( V7 == V8; #87 ), references = 1, size of lhs = 13:
% 1.36/1.52 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_divide-{F}(V3,V3,V4), P_inverse-{F}(V4,V5), P_divide-{F}(V2,V6,V7), P_divide-{F}(V8,V7,V9), P_divide-{F}(V10,V10,V11), P_divide-{F}(V12,V12,V11), P_divide-{F}(V13,V8,V14), P_divide-{F}(V14,V5,V15), P_divide-{F}(V16,V5,V15), P_divide-{F}(V17,V8,V16), V13 == V17 | FALSE
% 1.36/1.52 (used 0 times, uses = {})
% 1.36/1.52
% 1.36/1.52 #115: exists( #3, #109 ), references = 2, size of lhs = 15:
% 1.36/1.52 P_divide-{F}(V0,V0,V1), P_inverse-{F}(V2,V3), P_divide-{F}(V2,V4,V5), P_inverse-{F}(V4,V6), P_inverse-{F}(V7,V6), P_divide-{F}(V8,V5,V9), P_divide-{F}(V9,V3,V10), P_divide-{F}(V11,V11,V12), V12 == V1, P_inverse-{F}(V13,V14), P_divide-{F}(V13,V4,V15), P_divide-{F}(V8,V15,V16), P_divide-{F}(V16,V14,V10), P_divide-{F}(V17,V17,V18), P_divide-{F}(V19,V19,V18) | FALSE
% 1.36/1.52 (used 0 times, uses = {})
% 1.36/1.52
% 1.36/1.52 #116: exists( #3, #110 ), references = 1, size of lhs = 15:
% 1.36/1.52 P_divide-{F}(V0,V0,V1), P_inverse-{F}(V2,V3), P_divide-{F}(V2,V4,V5), P_inverse-{F}(V4,V6), P_inverse-{F}(V7,V6), P_divide-{F}(V8,V5,V9), P_divide-{F}(V9,V3,V10), P_divide-{F}(V11,V11,V12), V12 == V1, P_inverse-{F}(V13,V14), P_divide-{F}(V13,V4,V15), P_divide-{F}(V8,V15,V16), P_divide-{F}(V16,V14,V10), P_divide-{F}(V17,V17,V18), P_divide-{F}(V19,V19,V18) | FALSE
% 1.36/1.52 (used 0 times, uses = {})
% 1.36/1.52
% 1.36/1.52 #121: exists( #5, #119 ), references = 2, size of lhs = 14:
% 1.36/1.52 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_divide-{F}(V4,V4,V5), P_divide-{F}(V2,V6,V7), P_inverse-{F}(V6,V8), P_inverse-{F}(V9,V8), P_divide-{F}(V3,V6,V10), P_divide-{F}(V11,V7,V12), P_divide-{F}(V11,V10,V12), P_divide-{F}(V13,V13,V14), V14 == V5, P_divide-{F}(V15,V15,V16), P_divide-{F}(V17,V17,V16) | FALSE
% 1.36/1.52 (used 0 times, uses = {})
% 1.36/1.52
% 1.36/1.52 #123: exists( #3, #120 ), references = 3, size of lhs = 10:
% 1.36/1.52 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_divide-{F}(V4,V4,V5), P_divide-{F}(V2,V6,V7), P_divide-{F}(V3,V6,V7), P_inverse-{F}(V6,V8), P_inverse-{F}(V9,V8), P_divide-{F}(V10,V10,V11), P_divide-{F}(V12,V12,V11) | P_divide-{T}(V7,V7,V5)
% 1.36/1.52 (used 0 times, uses = {})
% 1.36/1.52
% 1.36/1.52 #133: mergings( V4 == V5, V7 == V9, V5 == V6; #129 ), references = 1, size of lhs = 11:
% 1.36/1.52 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_divide-{F}(V1,V4,V3), P_divide-{F}(V5,V3,V4), P_divide-{F}(V6,V6,V4), P_inverse-{F}(V7,V8), P_divide-{F}(V7,V2,V9), P_divide-{F}(V5,V9,V10), P_divide-{F}(V10,V8,V1), P_divide-{F}(V11,V11,V12), P_divide-{F}(V13,V13,V12) | P_multiply-{T}(V2,V0,V4)
% 1.36/1.52 (used 0 times, uses = {})
% 1.36/1.52
% 1.36/1.52 #145: exists( #3, #121 ), references = 13, size of lhs = 13:
% 1.36/1.52 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_divide-{F}(V4,V4,V5), P_divide-{F}(V2,V6,V7), P_inverse-{F}(V6,V8), P_inverse-{F}(V9,V8), P_divide-{F}(V3,V6,V10), P_divide-{F}(V11,V7,V12), P_divide-{F}(V11,V10,V12), P_divide-{F}(V13,V13,V14), P_divide-{F}(V15,V15,V14), #-{F} V16 | P_divide-{T}(V16,V16,V5)
% 1.36/1.52 (used 0 times, uses = {})
% 1.36/1.52
% 1.36/1.52 #155: exists( #3, #151 ), references = 1, size of lhs = 18:
% 1.36/1.52 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_divide-{F}(V4,V4,V5), P_inverse-{F}(V5,V6), P_inverse-{F}(V7,V6), P_divide-{F}(V7,V6,V8), P_divide-{F}(V9,V8,V5), P_divide-{F}(V2,V10,V11), P_inverse-{F}(V10,V12), P_inverse-{F}(V13,V12), P_divide-{F}(V3,V10,V14), P_divide-{F}(V15,V11,V16), P_divide-{F}(V15,V14,V16), P_divide-{F}(V17,V17,V18), P_divide-{F}(V19,V19,V18), P_divide-{F}(V20,V20,V21), P_divide-{F}(V22,V22,V21) | P_divide-{T}(V5,V6,V9)
% 1.36/1.52 (used 0 times, uses = {})
% 1.36/1.52
% 1.36/1.52 #156: exists( #3, #149 ), references = 1, size of lhs = 19:
% 1.36/1.52 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_divide-{F}(V4,V4,V5), P_divide-{F}(V2,V6,V7), P_inverse-{F}(V6,V8), P_inverse-{F}(V9,V8), P_divide-{F}(V3,V6,V10), P_divide-{F}(V11,V7,V12), P_divide-{F}(V11,V10,V12), P_divide-{F}(V13,V13,V14), P_divide-{F}(V15,V15,V14), P_inverse-{F}(V16,V17), P_inverse-{F}(V18,V17), P_inverse-{F}(V19,V17), P_divide-{F}(V20,V20,V21), P_divide-{F}(V22,V22,V21), P_divide-{F}(V18,V23,V24), P_divide-{F}(V25,V24,V5) | P_divide-{T}(V19,V23,V25)
% 1.36/1.52 (used 0 times, uses = {})
% 1.36/1.52
% 1.36/1.52 #157: exists( #3, #150 ), references = 1, size of lhs = 19:
% 1.36/1.52 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_divide-{F}(V4,V4,V5), P_divide-{F}(V2,V6,V7), P_inverse-{F}(V6,V8), P_inverse-{F}(V9,V8), P_divide-{F}(V3,V6,V10), P_divide-{F}(V11,V7,V12), P_divide-{F}(V11,V10,V12), P_divide-{F}(V13,V13,V14), P_divide-{F}(V15,V15,V14), P_inverse-{F}(V16,V17), P_inverse-{F}(V18,V17), P_inverse-{F}(V19,V17), P_divide-{F}(V20,V20,V21), P_divide-{F}(V22,V22,V21), P_divide-{F}(V18,V23,V24), P_divide-{F}(V25,V24,V5) | P_divide-{T}(V19,V23,V25)
% 1.36/1.52 (used 0 times, uses = {})
% 1.36/1.52
% 1.36/1.52 #165: exists( #3, #44 ), references = 1, size of lhs = 12:
% 1.36/1.52 P_inverse-{F}(V0,V1), P_divide-{F}(V0,V2,V3), P_divide-{F}(V4,V4,V5), P_divide-{F}(V6,V6,V5), P_inverse-{F}(V7,V8), P_divide-{F}(V2,V9,V8), P_divide-{F}(V10,V1,V9), P_divide-{F}(V11,V3,V10), P_inverse-{F}(V12,V13), P_divide-{F}(V14,V13,V11), P_divide-{F}(V12,V15,V16), P_divide-{F}(V17,V16,V14) | P_divide-{T}(V7,V15,V17)
% 1.36/1.52 (used 0 times, uses = {})
% 1.36/1.52
% 1.36/1.52 #194: exists( #5, #188 ), references = 1, size of lhs = 22:
% 1.36/1.52 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_divide-{F}(V4,V4,V5), P_divide-{F}(V2,V6,V7), P_inverse-{F}(V6,V8), P_inverse-{F}(V9,V8), P_divide-{F}(V3,V6,V10), P_divide-{F}(V11,V7,V12), P_divide-{F}(V11,V10,V12), P_divide-{F}(V13,V13,V14), P_divide-{F}(V15,V15,V14), P_inverse-{F}(V16,V17), P_inverse-{F}(V18,V19), P_inverse-{F}(V20,V19), P_divide-{F}(V21,V21,V22), P_inverse-{F}(V23,V24), P_divide-{F}(V23,V18,V25), P_divide-{F}(V5,V25,V26), P_divide-{F}(V26,V24,V17), P_divide-{F}(V27,V27,V28), P_divide-{F}(V29,V29,V28) | P_multiply-{T}(V18,V16,V22)
% 1.36/1.52 (used 0 times, uses = {})
% 1.36/1.52
% 1.36/1.52 #195: exists( #5, #189 ), references = 1, size of lhs = 22:
% 1.36/1.52 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_divide-{F}(V4,V4,V5), P_divide-{F}(V2,V6,V7), P_inverse-{F}(V6,V8), P_inverse-{F}(V9,V8), P_divide-{F}(V3,V6,V10), P_divide-{F}(V11,V7,V12), P_divide-{F}(V11,V10,V12), P_divide-{F}(V13,V13,V14), P_divide-{F}(V15,V15,V14), P_inverse-{F}(V16,V17), P_inverse-{F}(V18,V19), P_inverse-{F}(V20,V19), P_divide-{F}(V21,V21,V22), P_inverse-{F}(V23,V24), P_divide-{F}(V23,V18,V25), P_divide-{F}(V5,V25,V26), P_divide-{F}(V26,V24,V17), P_divide-{F}(V27,V27,V28), P_divide-{F}(V29,V29,V28) | P_multiply-{T}(V18,V16,V22)
% 1.36/1.52 (used 0 times, uses = {})
% 1.36/1.52
% 1.36/1.52 #196: exists( #5, #190 ), references = 1, size of lhs = 25:
% 1.36/1.52 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_divide-{F}(V4,V4,V5), P_divide-{F}(V2,V6,V7), P_inverse-{F}(V6,V8), P_inverse-{F}(V9,V8), P_divide-{F}(V3,V6,V10), P_divide-{F}(V11,V7,V12), P_divide-{F}(V11,V10,V12), P_divide-{F}(V13,V13,V14), P_divide-{F}(V15,V15,V14), P_inverse-{F}(V16,V17), P_inverse-{F}(V18,V19), P_inverse-{F}(V20,V19), P_divide-{F}(V21,V21,V22), P_inverse-{F}(V23,V24), P_divide-{F}(V23,V18,V25), P_divide-{F}(V5,V25,V26), P_divide-{F}(V26,V24,V17), P_divide-{F}(V27,V27,V28), P_inverse-{F}(V28,V29), P_inverse-{F}(V30,V29), P_divide-{F}(V31,V31,V32), P_divide-{F}(V33,V33,V32) | P_multiply-{T}(V18,V16,V22)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #208: exists( #3, #206 ), references = 4, size of lhs = 17:
% 1.36/1.53 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_divide-{F}(V4,V4,V5), P_divide-{F}(V2,V6,V7), P_inverse-{F}(V6,V8), P_inverse-{F}(V9,V8), P_divide-{F}(V3,V6,V10), P_divide-{F}(V11,V7,V12), P_divide-{F}(V11,V10,V12), P_divide-{F}(V13,V13,V14), P_divide-{F}(V15,V15,V14), P_divide-{F}(V16,V16,V17), P_inverse-{F}(V18,V19), P_divide-{F}(V5,V19,V20), P_divide-{F}(V21,V20,V22), P_divide-{F}(V17,V22,V23) | P_divide-{T}(V18,V21,V23)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #223: exists( #3, #217 ), references = 1, size of lhs = 31:
% 1.36/1.53 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_divide-{F}(V4,V4,V5), P_divide-{F}(V6,V5,V5), P_divide-{F}(V7,V7,V6), P_divide-{F}(V2,V8,V9), P_inverse-{F}(V8,V10), P_inverse-{F}(V11,V10), P_divide-{F}(V3,V8,V12), P_divide-{F}(V13,V9,V14), P_divide-{F}(V13,V12,V14), P_divide-{F}(V15,V15,V16), P_divide-{F}(V17,V17,V16), P_inverse-{F}(V18,V19), P_inverse-{F}(V20,V19), P_inverse-{F}(V21,V19), P_divide-{F}(V22,V22,V23), P_inverse-{F}(V23,V24), P_inverse-{F}(V25,V24), P_divide-{F}(V20,V26,V27), P_inverse-{F}(V26,V28), P_inverse-{F}(V29,V28), P_divide-{F}(V21,V26,V30), P_divide-{F}(V31,V27,V32), P_divide-{F}(V31,V30,V32), P_divide-{F}(V33,V33,V34), P_divide-{F}(V35,V35,V34), P_inverse-{F}(V36,V37), P_divide-{F}(V38,V38,V39), P_divide-{F}(V40,V40,V39) | P_divide-{T}(V23,V37,V36)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #224: exists( #3, #218 ), references = 1, size of lhs = 31:
% 1.36/1.53 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_divide-{F}(V4,V4,V5), P_divide-{F}(V6,V5,V5), P_divide-{F}(V7,V7,V6), P_divide-{F}(V2,V8,V9), P_inverse-{F}(V8,V10), P_inverse-{F}(V11,V10), P_divide-{F}(V3,V8,V12), P_divide-{F}(V13,V9,V14), P_divide-{F}(V13,V12,V14), P_divide-{F}(V15,V15,V16), P_divide-{F}(V17,V17,V16), P_inverse-{F}(V18,V19), P_inverse-{F}(V20,V19), P_inverse-{F}(V21,V19), P_divide-{F}(V22,V22,V23), P_inverse-{F}(V23,V24), P_inverse-{F}(V25,V24), P_divide-{F}(V20,V26,V27), P_inverse-{F}(V26,V28), P_inverse-{F}(V29,V28), P_divide-{F}(V21,V26,V30), P_divide-{F}(V31,V27,V32), P_divide-{F}(V31,V30,V32), P_divide-{F}(V33,V33,V34), P_divide-{F}(V35,V35,V34), P_inverse-{F}(V36,V37), P_divide-{F}(V38,V38,V39), P_divide-{F}(V40,V40,V39) | P_divide-{T}(V23,V37,V36)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #225: exists( #3, #219 ), references = 1, size of lhs = 34:
% 1.36/1.53 P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V1), P_inverse-{F}(V3,V1), P_divide-{F}(V4,V4,V5), P_divide-{F}(V6,V5,V5), P_divide-{F}(V7,V7,V6), P_divide-{F}(V2,V8,V9), P_inverse-{F}(V8,V10), P_inverse-{F}(V11,V10), P_divide-{F}(V3,V8,V12), P_divide-{F}(V13,V9,V14), P_divide-{F}(V13,V12,V14), P_divide-{F}(V15,V15,V16), P_divide-{F}(V17,V17,V16), P_inverse-{F}(V18,V19), P_inverse-{F}(V20,V19), P_inverse-{F}(V21,V19), P_divide-{F}(V22,V22,V23), P_inverse-{F}(V23,V24), P_inverse-{F}(V25,V24), P_divide-{F}(V20,V26,V27), P_inverse-{F}(V26,V28), P_inverse-{F}(V29,V28), P_divide-{F}(V21,V26,V30), P_divide-{F}(V31,V27,V32), P_divide-{F}(V31,V30,V32), P_divide-{F}(V33,V33,V34), P_divide-{F}(V35,V35,V34), P_inverse-{F}(V36,V37), P_divide-{F}(V38,V38,V39), P_inverse-{F}(V39,V40), P_inverse-{F}(V41,V40), P_divide-{F}(V42,V42,V43), P_divide-{F}(V44,V44,V43) | P_divide-{T}(V23,V37,V36)
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #229: exists( #4, #227 ), references = 3, size of lhs = 33:
% 1.36/1.53 P_b2-{F}(V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_divide-{F}(V3,V3,V2), P_a2-{F}(V4), P_inverse-{F}(V4,V5), P_inverse-{F}(V6,V7), P_inverse-{F}(V8,V7), P_inverse-{F}(V9,V7), P_divide-{F}(V10,V10,V11), P_divide-{F}(V12,V11,V11), P_divide-{F}(V13,V13,V12), P_divide-{F}(V8,V14,V15), P_inverse-{F}(V14,V16), P_inverse-{F}(V17,V16), P_divide-{F}(V9,V14,V18), P_divide-{F}(V19,V15,V20), P_divide-{F}(V19,V18,V20), P_divide-{F}(V21,V21,V22), P_divide-{F}(V23,V23,V22), P_inverse-{F}(V24,V25), P_inverse-{F}(V26,V25), P_inverse-{F}(V27,V25), P_divide-{F}(V26,V28,V29), P_inverse-{F}(V28,V30), P_inverse-{F}(V31,V30), P_divide-{F}(V27,V28,V32), P_divide-{F}(V33,V29,V34), P_divide-{F}(V33,V32,V34), P_divide-{F}(V35,V35,V36), P_divide-{F}(V37,V37,V36), P_divide-{F}(V38,V38,V39), P_divide-{F}(V40,V40,V39) | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #234: exists( #4, #232 ), references = 1, size of lhs = 42:
% 1.36/1.53 P_b2-{F}(V0), P_a2-{F}(V0), P_inverse-{F}(V1,V2), P_inverse-{F}(V3,V2), P_inverse-{F}(V4,V2), P_divide-{F}(V5,V5,V6), P_divide-{F}(V7,V7,V6), P_divide-{F}(V3,V8,V9), P_inverse-{F}(V8,V10), P_inverse-{F}(V11,V10), P_divide-{F}(V4,V8,V12), P_divide-{F}(V13,V9,V14), P_divide-{F}(V13,V12,V14), P_divide-{F}(V15,V15,V16), P_divide-{F}(V17,V17,V16), P_inverse-{F}(V18,V19), P_inverse-{F}(V20,V19), P_inverse-{F}(V21,V19), P_divide-{F}(V22,V22,V23), P_divide-{F}(V24,V23,V23), P_divide-{F}(V25,V25,V24), P_divide-{F}(V20,V26,V27), P_inverse-{F}(V26,V28), P_inverse-{F}(V29,V28), P_divide-{F}(V21,V26,V30), P_divide-{F}(V31,V27,V32), P_divide-{F}(V31,V30,V32), P_divide-{F}(V33,V33,V34), P_divide-{F}(V35,V35,V34), P_inverse-{F}(V36,V37), P_inverse-{F}(V38,V37), P_inverse-{F}(V39,V37), P_divide-{F}(V38,V40,V41), P_inverse-{F}(V40,V42), P_inverse-{F}(V43,V42), P_divide-{F}(V39,V40,V44), P_divide-{F}(V45,V41,V46), P_divide-{F}(V45,V44,V46), P_divide-{F}(V47,V47,V48), P_divide-{F}(V49,V49,V48), P_divide-{F}(V50,V50,V51), P_divide-{F}(V52,V52,V51) | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #244: mergings( V4 == V5, V5 == V8, V8 == V9, V9 == V12, V12 == V13, V13 == V16, V16 == V17; #236 ), references = 1, size of lhs = 11:
% 1.36/1.53 P_b2-{F}(V0), P_a2-{F}(V0), P_inverse-{F}(V1,V2), P_inverse-{F}(V3,V2), P_inverse-{F}(V4,V2), P_inverse-{F}(V5,V2), P_inverse-{F}(V6,V2), P_inverse-{F}(V7,V2), P_inverse-{F}(V8,V2), P_inverse-{F}(V9,V2), P_inverse-{F}(V10,V2) | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #246: exists( #4, #236 ), references = 1, size of lhs = 2:
% 1.36/1.53 P_b2-{F}(V0), P_a2-{F}(V0) | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #254: exists( #4, #229 ), references = 1, size of lhs = 32:
% 1.36/1.53 P_b2-{F}(V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V1,V0,V2), P_divide-{F}(V3,V3,V2), P_a2-{F}(V4), P_inverse-{F}(V5,V6), P_inverse-{F}(V7,V6), P_inverse-{F}(V8,V6), P_divide-{F}(V9,V9,V10), P_divide-{F}(V11,V10,V10), P_divide-{F}(V12,V12,V11), P_divide-{F}(V7,V13,V14), P_inverse-{F}(V13,V15), P_inverse-{F}(V16,V15), P_divide-{F}(V8,V13,V17), P_divide-{F}(V18,V14,V19), P_divide-{F}(V18,V17,V19), P_divide-{F}(V20,V20,V21), P_divide-{F}(V22,V22,V21), P_inverse-{F}(V23,V24), P_inverse-{F}(V25,V24), P_inverse-{F}(V26,V24), P_divide-{F}(V25,V27,V28), P_inverse-{F}(V27,V29), P_inverse-{F}(V30,V29), P_divide-{F}(V26,V27,V31), P_divide-{F}(V32,V28,V33), P_divide-{F}(V32,V31,V33), P_divide-{F}(V34,V34,V35), P_divide-{F}(V36,V36,V35), P_divide-{F}(V37,V37,V38), P_divide-{F}(V39,V39,V38) | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #258: exists( #4, #256 ), references = 2, size of lhs = 42:
% 1.36/1.53 P_b2-{F}(V0), P_a2-{F}(V1), P_inverse-{F}(V2,V3), P_inverse-{F}(V4,V3), P_inverse-{F}(V5,V3), P_divide-{F}(V6,V6,V7), P_divide-{F}(V8,V8,V7), P_divide-{F}(V4,V9,V10), P_inverse-{F}(V9,V11), P_inverse-{F}(V12,V11), P_divide-{F}(V5,V9,V13), P_divide-{F}(V14,V10,V15), P_divide-{F}(V14,V13,V15), P_divide-{F}(V16,V16,V17), P_divide-{F}(V18,V18,V17), P_inverse-{F}(V19,V20), P_inverse-{F}(V21,V20), P_inverse-{F}(V22,V20), P_divide-{F}(V23,V23,V24), P_divide-{F}(V25,V24,V24), P_divide-{F}(V26,V26,V25), P_divide-{F}(V21,V27,V28), P_inverse-{F}(V27,V29), P_inverse-{F}(V30,V29), P_divide-{F}(V22,V27,V31), P_divide-{F}(V32,V28,V33), P_divide-{F}(V32,V31,V33), P_divide-{F}(V34,V34,V35), P_divide-{F}(V36,V36,V35), P_inverse-{F}(V37,V38), P_inverse-{F}(V39,V38), P_inverse-{F}(V40,V38), P_divide-{F}(V39,V41,V42), P_inverse-{F}(V41,V43), P_inverse-{F}(V44,V43), P_divide-{F}(V40,V41,V45), P_divide-{F}(V46,V42,V47), P_divide-{F}(V46,V45,V47), P_divide-{F}(V48,V48,V49), P_divide-{F}(V50,V50,V49), P_divide-{F}(V51,V51,V52), P_divide-{F}(V53,V53,V52) | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #268: mergings( V5 == V6, V6 == V9, V9 == V10, V10 == V13, V13 == V14, V14 == V17, V17 == V18; #260 ), references = 1, size of lhs = 11:
% 1.36/1.53 P_b2-{F}(V0), P_a2-{F}(V1), P_inverse-{F}(V2,V3), P_inverse-{F}(V4,V3), P_inverse-{F}(V5,V3), P_inverse-{F}(V6,V3), P_inverse-{F}(V7,V3), P_inverse-{F}(V8,V3), P_inverse-{F}(V9,V3), P_inverse-{F}(V10,V3), P_inverse-{F}(V11,V3) | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #270: exists( #4, #260 ), references = 1, size of lhs = 2:
% 1.36/1.53 P_b2-{F}(V0), P_a2-{F}(V1) | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #272: exists( #7, #269 ), references = 1, size of lhs = 1:
% 1.36/1.53 P_b2-{F}(V0) | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 #274: exists( #6, #271 ), references = 1, size of lhs = 0:
% 1.36/1.53 FALSE | FALSE
% 1.36/1.53 (used 0 times, uses = {})
% 1.36/1.53
% 1.36/1.53 number of learnt formulas = 40
% 1.36/1.53
% 1.36/1.53
% 1.36/1.53 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.36/1.53
% 1.36/1.53 randbase = 1
%------------------------------------------------------------------------------